1. The diagram shown is two intersecting lines. The measure of <5is 47°.
(a) What is the measure of 27 ? How do you know. Explain your answer in complete sentences.
(b) Suppose the measure of 26 can be represented by (2x - 5). What equation can be written to solve
for the value of x?
(c) What is the value of x?
Answers
The measure of ∠7 is 47°. Angle 7 is a vertical angle to angle 5
Suppose the measure of ∠6 is represented represented by (2x - 5), the equation that can be use to solve for x is 42 + 2x = 180
The value of x is 69
Vertical opposite anglesVertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Vertical opposite angles are congruent. Therefore,
a. ∠5 ≅ ∠7 (vertical angles)
Therefore, angles 5 and 7 are congruent angles.
∠7 = 47°
b. Suppose ∠6 = 2x - 5 . let's find x
Therefore,
∠5 + ∠6 = 180(angle on a straight line)
The equation to solve the above is as follows:
47 + 2x - 5 = 180
42 + 2x = 180
2x = 180 - 42
2x = 138
x = 138 / 2
x = 69
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Answer:
a) <5 and <7 have congruent angles. That means that both angles are equal, they have the same measure. This means that the measure of <7 is 47°.
<7 = 47°
b) 5 and 6 are adjacent, so this is the equation that we have to do to solve for the value of x.
<5 + <6 = 180°
47° + (2x - 5)° = 180°
c) To solve the linear equation we need to isolate x.
47° + (2x - 5)° = 180°
(2x - 5)° = 180° - 47° = 133°
2x - 5 = 133
2x = 133 + 5 = 138
x = 138/2 = 69
Related Questions
John runs a computer software store. Yesterday he counted 131 people who walked by the store, 58 of whom came into the store. Of the 58, only 23 bought something in the store. (Round your answers to two decimal places.)
Answers
Answer:
23/131 or 23/58
what is 1/13 as a decimal?
Answers
Answer:
0.076923 in decimal or 0.08
Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs.
log(x3y−8−−−−−−√)
Answers
Answer:
You are multiplying two factors in the argument. So we add the logs.
log(x4y3) + log((x2y5)1/3)
log(x4y3) + log(x2/3y5/3)
For each log term. The arguments are being multiplied. So we further add the logs. Also, any exponents become of the coefficients of logs.
4log(x) + 3log(y) + (2/3)log(x) + (5/3)log(y)
Combine like log terms.
(14/3)log(x) + (14/3)log(y)
Hope it helps!!!!!!brainliest pls!!!!!!Which inequality matches the graph shown below? y < -2x-1, y > -2x-1, y > 2x-1, y < 2x-1
Answers
Answer:
y > 2x - 1
Step-by-step explanation:
the first thing we see in the graph is the dotted line. so, the line itself will not be included. therefore, no "<=" or ">=", but there was none in the answer options anyway.
then we see the shaded area is "above" (in tendency) the line. so, we are talking about a "y > ..." inequality.
then we see the y-intercept (the y value when x=0). it is -1, but all the answer options have "-1" as y-intercept. OK.
and then we see the slope of the line. when checking after (0, -1) the next point on the line with whole numbers as coordinates, we find (1, 1). so, while x increased by 1, y increases by 2. so, the slow is "y change"/"x change" = 2/1 = 2
so, in total, we are looking for the line
y = 2x - 1
and to cover the whole area above the line (but without the line) we get then
y > 2x - 1
Ian owns a small business selling used books. He knows that in the last week 19
customers paid cash, 30 customers used a debit card, and 77 customers used a credit
card.
If next week, he is expecting 1800 customers, about how many would you expect to
pay with a credit card? Round your answer to the nearest whole number.
Answers
Step-by-step explanation:
last week there were 19+30+77 = 126 customers.
19/126 = 1/14 paid cash.
30/126 = 5/21 paid by debit card.
77/126 = 11/18 paid by credit card.
next week he expects 1800 customers.
that is compared to 126 a factor of
1800/126 = 300/21 = 100/7
now we actually only need to apply the same factor to any part of the total sum to get their share in the new total sum.
it simply follows the rule
(a + b + c) × d = ad + bd + cd
so,
77 × 100/7 = 11 × 100 = 1100 customers are expected to pay per credit card.
PLEASE ANSWER THIS MATH: 10 CATS IS CRYING IN BED AND 1 CAT IS NOT CRYING IN BED and 1 cat is missing some cats are missing? level:easy 5point
what are the given?
what is answer?
what is crying?
please answer this
Answers
Answer:
8
Step-by-step explanation:
10 -1-1
that's all I can think
Solve for m
4(1 + 0.5m) = 7m
Answers
Answer:
[tex]m=\frac{4}{5}[/tex]
Step-by-step explanation:
Expand 4(1+0.5m): 4+2m
[tex]4\left(1+0.5m\right)[/tex]
[tex]a=4,\:b=1,\:c=0.5m[/tex]
[tex]=4\cdot \:1+4\cdot \:0.5m[/tex]
Simplify 4*1+4*0.5m: 4+2m
[tex]4\cdot \:1+4\cdot \:0.5m[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1=4[/tex]
[tex]=4+4\cdot \:0.5m[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:0.5=2[/tex]
[tex]=4+2m[/tex]
[tex]4+2m=7m[/tex]
[tex]\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}[/tex]
[tex]4+2m-4=7m-4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]2m=7m-4[/tex]
[tex]\mathrm{Subtract\:}7m\mathrm{\:from\:both\:sides}[/tex]
[tex]2m-7m=7m-4-7m[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-5m=-4[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]
[tex]\frac{-5m}{-5}=\frac{-4}{-5}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]m=\frac{4}{5}[/tex]
Express the sum of 200.2 and 4.27 multiply by 10 exponent 3
Answers
Answer: 200.2 + 4.27 = x
x = 204.47
204.47 x [tex]10^{3}[/tex]= 204470
Ms. Gonzales gathered data on the number of vowels in the first and last names of each of her students. The data are shown in the dot plot.
Vowels in student names. Number of vowels.
What percentage of the students have 5 or more vowels in their first and last names?
Answers
From the dot plot, we have that 90.91% of the students have 5 or more vowels in their first and last names.
---------------------
The dot plot states that:
2 students have 4 vowels in their first and last name.
3 students have 5 vowels.
8 students have 6 vowels.
9 students have 7 vowels.
Then:
Total of 2 + 3 + 8 + 9 = 22 students.
3 + 8 + 9 = 20 have or more vowels.
90.91% of the students have 5 or more vowels in their first and last names.
100 POINTS AND BRAINLIST
Answers
So
P(AUB)=P(A)+P(B)
P(AUB)=62+34=96600/b=74/100 HELP ASAP PLEASE!
Answers
Answer:
Step-by-step explanation:
Cross multiply,
74* b = 600 * 100
74b = 60000
b = 60000/74 = 810.8
Felix has a bag of 6 yellow marbles and 6 green marbles. He picks a marble and then puts it back 26 times. The results are shown in the table. Outcome Tally Yellow 15 Green 11 What is the percent error of pulling a yellow marble in Felix’s experiment? A. 13.3% B. 15.4% C. 23.1% D. 42.3%
whats the answer to this? (with an explanation please)
Answers
Answer:
Step-by-step explanation:
no of yellow marbles = 6
no. of green marbles = 6
total no. of marbles = 12
he picks and put the marbles for 26 times
he pick yellow for 15 times
he pick green marble for 11 times
= (15/26 - 1/2) / 1/2 = 15.4%
The scale model of a car is 5% of the size of the actual car. The length of
the model is 9 inches. How many feet long is the actual car?
Answers
Explanation:
x = length of the actual car in inches
5% of x = 9 inches
0.05x = 9
x = 9/(0.05)
x = 180 inches
Divide by 12 to convert from inches to feet.
180 inches = (180/12) feet = 15 feet
SOMEONE PLS HELP I NEED IT I SUCK AT MATH
Answers
Answer:
b){ f(x)| –∞ < f(x) ≤ 4}
Step-by-step explanation:
I took a test recently on this and am not really sure how to explain it.
Hope this helped.
A brainliest is always appreciated.
A ______ expression like ( 3+5) × (4-1) is a combination of numbers and at least one operation. Fill in the blank
Answers
4
• You Try!
Find the midpoint of the two following points (1,3) (3, 11)
Answers
x1+x2/2 + y1 +y2/2
= 1 +3/2 + 3+11/2
= (2;7)
N:2 = 15/5 solve it for n
Answers
Step-by-step explanation:
N:2 = 15:5
N\2 = 15\ 5
Now cross multiply,
5N = 30
N = 6
Answer:
n = 6Step-by-step explanation:
N:2 = 15/5 solve it for n
n : 2 = 15 : 5
n = 2 * 15 : 5
n = 30 : 5
n = 6
---------------------
check
6 : 2 = 15 : 5
3 = 3
the answer is good
PLEASE HELP QUICK WHO EVER DOES IT FIRST GETS BRAINLEST
A hybrid car used
of a gallon of gas to travel of a mile. At this rate, how many miles can the car travel using
96
one gallon of gas?
O 48 miles
O 96 miles
O 144 miles
O 192 miles
Answers
Answer:
96 gallon of a gas if a gallon of gas is used to travel a mile you will multiply one times ninety six
NO LINKS!! Part 8: Please help me with this problem
Answers
Answer:
Step-by-step explanation:
here !
Answer:
Step-by-step explanation:
in 10 hrs distance covered=speed×time=15×10=150 nautical miles.
x²=600²+150²-2×600×150×cos 20°
x²=360,000+22,500-180,000×cos 20°
x=√(382,500+180,000×cos 20°)
x\approx 742.73 nautical miles
time taken=742.73/15 \approx ~49.52 hours
total time taken=10+49.52=59.52 hours
applying sine formula
[tex]\frac{sin ~B}{150} =\frac{sin~20}{742.73} \\\sin~B=\frac{150}{742.73} \times~sin~20\\B=\sin^{-1} [\frac{150}{742.73} \times \sin~20]\\B\approx~3.96 ^\circ\\B\approx 4^\circ[/tex]
so it has to make a turn=20+4=24°
A customer pays $96 for six pillows if each pillow cost the same amount what is the cost per pillow in dollars
Answers
96 / 6 = 32 / 2 = 16 / 1 = 16 per pillow
Answer:
16$
Step-by-step explanation:
96$ for 6 pillows, so divide that cost by 96$/6=16$ per pillow
PLEASE HELP ON THIS PLEASE I REALLY NEED HELP
Answers
Answer:
21.07 ft²
Step-by-step explanation:
Radius = 7
Length of the rectangle = 2 * 7 = 14 ft
Area of rectangle = 14 * 7 = 98 ft²
Area of semicircle = π(7)²/2 = 76.93 ft²
So the are of shaded region = 98 - 76.93 = 21.07 ft²
The measure of an angle is 23°. What is the measure of its supplementary angle?
Answers
Answer:
If one angle is 23 then the other is 180-23 = 157
one angle is the supplementary of other
23 is the supplementary of 157
157 is the supplementary of 23
Does anyone know this?
Answers
sine = “opposite”/hypotenuse
Unfortunately, I currently can’t draw a diagram, but if you draw a right triangle with corners labeled I, H, and G, the side opposite to angle G is 33. The hypotenuse, aka the longest side of the triangle, is 65.
Hence, the ratio would be 33/65.
Please help with factor trees, if u click here there will be the question
Answers
14. 4
7. 2. 2. 2
Answer:
Spot 1: 14
Spot 2: 7
Step-by-step explanation:
To fill in the first empty spot, we just have to look at the other side.
We can see that the factor on the right is 4
That means the factor on the left has to multiply by 4 to get 56
To find which number that is, we divide 56 by 4
56 ÷ 4 = 14
So, the first spot is 14
Then, to find the spot below it, we need a number that multiplies by 2 to get 14
Well, 14 ÷ 2 = 7
The second spot is 7
The measure of the
intercepted arc of a
central angle is 24°
What is the measure of
the central angle?
Answers
Answer: 24 degrees
Step-by-step explanation:
The measure of a central angle is equal to the measure of the arc that it intercepts.
the diameter of a music CD is 12 centimetres . Find the circumference of a CD the nearest tenth
please help me
Answers
Answer:
37.7cm
Step-by-step explanation:
If the diametre is 12, the radius is 6, which means the area is 113.0973, which also means the circumference is 37.6991, round and you get 37.7
2. You are called to a crime scene and need to get there as quickly as possible. The crime scene is 10.5 miles away.
You will be able to drive an average of 45 miles per hour. Approximately how long will it take you to get to the
scene?
A. 5 minutes
B. 10 minutes
C. 5 minutes
D. 14 minutes
Answers
The time taken to reach the scene is 14 minutes, the correct option is D.
What is Speed?Speed is the rate at which a certain distance is covered in a given period of time, it is represented in m/sec, km/hr, etc.
The distance is 10.5 miles
The speed of driving is 45 miles/ hour
Time period = ?
Let t denotes the time taken to reach
Speed = Distance / Time
45 = 10.5 / t
t = 10.5/45 = 0.233 hours
t = 0.233 *60 = 14 minutes
Therefore, the time taken to reach the scene is 14 minutes, the correct option is D.
To know more about Speed
https://brainly.com/question/7359669
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Which system has the solution set shown?
x squared + y squared greater-than-or-equal-to 16 and y greater-than-or-equal-to negative one-fourth x squared + 2
x squared + y squared greater-than-or-equal-to 16 and y less-than-or-equal-to negative one-fourth x squared + 2
x squared + y squared less-than-or-equal-to 16 and y greater-than-or-equal-to negative one-fourth x squared + 2
x squared + y squared less-than-or-equal-to 16 and y less-than-or-equal-to negative one-fourth x squared + 2
Answers
Answer:
C would be your answer
Step-by-step explanation:
Put it into the graphing calculator
Inequalities help us to compare two unequal expressions. The correct option is C.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The solution set shown belongs to two equations,
[tex]x^{2}+y^{2}\le16[/tex][tex]-\dfrac{1}{4}x^{2}+2\le y[/tex]Hence, the correct option is C.
Learn more about Inequality:
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2. A father offers three portions of his crop land to his daughter for a corn maze. All
portions are circular and the daughter can only choose one portion. The first
portion has an 875 feet radius. The second portion has a 1715 feet diameter. The
third portion has a 5305 feet circumference. The daughter does not want more
than 2,250,000 square feet of corn maze. Which of the portions will be chosen by
the daughter?
Answers
If the daughter does not want more than 2,250,000 square feet of the corn maze, hence she will choose all the portions
Circumference and area of circlesThe formula for calculating the area of circle is expressed as;
A = πr²
r is the radius of the circle
If r = 875ft
A = 3.14(875)²
A = 2,404,062.5squar feet
For the diameter = 1715feet
r = 1715/2
A = 3.14(1715/2)²
A =2,308,861.625 square feet
For the third portion has a 5305 feet circumference;
5305 = 2(3.14)r
r = 844.74ft
A = 3.14(844.74)^2
A = 2,240,686.70
If the daughter does not want more than 2,250,000 square feet of the corn maze, hence she will choose all the portions
Learn more on area of circle here; https://brainly.com/question/28956
the person above has the correct work.. but the answer is the portion with the 5305 feet circumference.
Complete the table below. Use the information to answer the questions below. After how many hours will the amount of rainfall be 28 inches if it continues at this rate how many inches of rain will fall after 6 hours
Answers
Answer:
Step-by-step explanation:
0 hours is 0, 1 is 3.5, 2 is 7, 3 is 10.5, 4 is 14, 5 is 17.5.